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irinina [24]
3 years ago
14

Jessica is looking for the best deal on a set of golf clubs that has a wholesale price of 349. Help her compare the price of

Mathematics
1 answer:
Gelneren [198K]3 years ago
4 0

Answer:

A: $279.20

B: $24.40

C: Jessica would pay more for the golf clubs if she gets them directly from the distributer

Step-by-step explanation:

Distributer A- Direct

Distributer B- Pro

To turn a percent into a decimal, get rid of percentage and divide # by 100

A: 349× .8 = $279. 20

B: 349 × .1 = 34.90

34.90 × .7 = $24.43

C: Jessica would pay more for the golf clubs if she gets them directly.

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1. Set up the equations

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You have a system of two equations:

\begin{cases}(1) & x - y = 16\\(2) & x = 4y - 5\end{cases}

2. Solve the equations

\begin{array}{lrcll}(3) & 4y - 5 - y & = & 16 &\text{Substituted (2) into (1)}\\& 3y - 5 & = & 16 &\text{Simplified}\\ & 3y & = & 21 &\text{Added 5 to each side}\\(4) &y & = & \mathbf{7} &\text{Divided each side by 3} \\& x - 7 & = & 16 & \text{Substituted (4) into (1)}\\& x& = & \mathbf{23} & \text{Added 7 to each side}\\\end{array}

The larger number is 23; the smaller number is 7.

3. Check

\begin{array}{rclcrcl}23 - 7& = & 16 & \qquad &23&=&4(7) - 5\\16 & = & 16 & \qquad &23& = &28 - 5\\&&& \qquad &23& = &23\\\end{array}

OK.

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